# In a School 150 students passed X Standard examination. 95 students applied for Group I and 82 students applied for Group II in the Higher Secondary course. If 20 students applied neither of the two, how many students applied for both groups

The total number of students 150.

Total number of students applied 150-20=130

$\\n(AuB)=n(A)+n(B)-n(A\cap B)\\130=95+82-n(A\cap B)\\n(A\cap B)=177-130=47$

47 students applied for both

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